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Finding the Fourth Proportional to 443.60, 664.31 and 261.04

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Solution

The fourth proportional to 443.60, 664.31 and 261.04 is: 390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.60 : 664.31 = 261.04 : x
  2. Step 2: Convert to fraction form
    443.60/664.31 = 261.04/x
  3. Step 3: Cross multiply
    443.60x = 664.31 × 261.04
  4. Step 4: Simplify right side
    443.60x = 173,411.48
  5. Step 5: Solve for x
    x = 173,411.48/443.60
  6. Step 6: Final answer
    x = 390.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.